Question

What is the solution to the equation below? Round your answer to two decimal places. 5^x=9.2

Answer 1

Answer: 1.38=x

Step-by-step explanation:

Since the x is in the exponent place, we must use log to solve this problem.

Changing this equation from exponential to logarithmic is easy, just use this example:

Exponential: $a^b=c$

Logarithmic: $log_{a}c=b$

Let 5=a, x=b, and 9.2=c

Exponential: $5^x=9.2$

Logarithmic: $log_{5} 9.2=x$

Now simply use a calculator to solve for the log to find x

$1.37886=x$

Answer 2

Answer:

Step-by-step explanation: